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Finding the Fourth Proportional to 10,863.74, 14,992.22 and 6,083.64

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Solution

The fourth proportional to 10,863.74, 14,992.22 and 6,083.64 is: 8,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.74 : 14,992.22 = 6,083.64 : x
  2. Step 2: Convert to fraction form
    10,863.74/14,992.22 = 6,083.64/x
  3. Step 3: Cross multiply
    10,863.74x = 14,992.22 × 6,083.64
  4. Step 4: Simplify right side
    10,863.74x = 91,207,284.49
  5. Step 5: Solve for x
    x = 91,207,284.49/10,863.74
  6. Step 6: Final answer
    x = 8,395.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.